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Securitizing and tranching longevity exposures

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  • Biffis, Enrico
  • Blake, David

Abstract

We consider the problem of optimally designing longevity risk transfers under asymmetric information. We focus on holders of longevity exposures that have superior knowledge of the underlying demographic risks, but are willing to take them off their balance sheets because of capital requirements. In equilibrium, they transfer longevity risk to uninformed agents at a cost, where the cost is represented by retention of part of the exposure and/or by a risk premium. We use a signalling model to quantify the effects of asymmetric information and emphasize how they compound with parameter uncertainty. We show how the cost of private information can be minimized by suitably tranching securitized cashflows, or, equivalently, by securitizing the exposure in exchange for an option on mortality rates. We also investigate the benefits of pooling several longevity exposures and the impact on tranching levels.

Suggested Citation

  • Biffis, Enrico & Blake, David, 2010. "Securitizing and tranching longevity exposures," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 186-197, February.
  • Handle: RePEc:eee:insuma:v:46:y:2010:i:1:p:186-197
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    References listed on IDEAS

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    Cited by:

    1. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    2. Blake, David & El Karoui, Nicole & Loisel, Stéphane & MacMinn, Richard, 2018. "Longevity risk and capital markets: The 2015–16 update," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 157-173.
    3. David Blake & Marco Morales & Enrico Biffis & Yijia Lin & Andreas Milidonis, 2017. "Special Edition: Longevity 10 – The Tenth International Longevity Risk and Capital Markets Solutions Conference," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(S1), pages 515-532, April.
    4. Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
    5. David Landriault & Bin Li & Hong Li & Yuanyuan Zhang, 2024. "Contract Structure and Risk Aversion in Longevity Risk Transfers," Papers 2409.08914, arXiv.org.
    6. David Blake & Christophe Courbage & Richard MacMinn & Michael Sherris, 2011. "Longevity Risk and Capital Markets: The 2010–2011 Update," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 36(4), pages 489-500, October.
    7. Enrico Biffis & David Blake, 2014. "Keeping Some Skin in the Game: How to Start a Capital Market in Longevity Risk Transfers," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 14-21.
    8. David Blake & Andrew Cairns & Guy Coughlan & Kevin Dowd & Richard MacMinn, 2013. "The New Life Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 501-558, September.
    9. M. Martin Boyer & Théodora Dupont-Courtade, 2013. "The Market for Reinsurance," CIRANO Working Papers 2013s-06, CIRANO.
    10. Wong, Tat Wing & Chiu, Mei Choi & Wong, Hoi Ying, 2014. "Time-consistent mean–variance hedging of longevity risk: Effect of cointegration," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 56-67.
    11. Blake, David & Brockett, Patrick & Cox, Samuel & MacMinn, Richard, 2011. "Longevity risk and capital markets: The 2009-2010 update," MPRA Paper 28868, University Library of Munich, Germany.
    12. Chen, An & Li, Hong & Schultze, Mark B., 2023. "Optimal longevity risk transfer under asymmetric information," Economic Modelling, Elsevier, vol. 120(C).
    13. Luciano, Elisa & Regis, Luca, 2014. "Efficient versus inefficient hedging strategies in the presence of financial and longevity (value at) risk," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 68-77.
    14. Mrad, Fatma & Hamdi, Haykel & Naoui, Kamel & Abid, Ilyes, 2023. "The GMWB guarantee embedded in Life Insurance Contracts: Fair Value Pricing Problem," Finance Research Letters, Elsevier, vol. 51(C).
    15. Bisetti, Emilio & Favero, Carlo A. & Nocera, Giacomo & Tebaldi, Claudio, 2017. "A Multivariate Model of Strategic Asset Allocation with Longevity Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 52(5), pages 2251-2275, October.
    16. Enrico Biffis & David Blake & Lorenzo Pitotti & Ariel Sun, 2016. "The Cost of Counterparty Risk and Collateralization in Longevity Swaps," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(2), pages 387-419, June.
    17. Tat Wing Wong & Mei Choi Chiu & Hoi Ying Wong, 2017. "Managing Mortality Risk With Longevity Bonds When Mortality Rates Are Cointegrated," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(3), pages 987-1023, September.
    18. Stevens, R.S.P. & De Waegenaere, A.M.B. & Melenberg, B., 2011. "Longevity Risk and Natural Hedge Potential in Portfolios Of Life Insurance Products : The Effect of Investment Risk," Other publications TiSEM a3e07689-4b6b-4987-852c-3, Tilburg University, School of Economics and Management.
    19. Enrico Biffis & Erik Chavez, 2017. "Satellite Data and Machine Learning for Weather Risk Management and Food Security," Risk Analysis, John Wiley & Sons, vol. 37(8), pages 1508-1521, August.
    20. Stevens, R.S.P. & De Waegenaere, A.M.B. & Melenberg, B., 2011. "Longevity Risk and Natural Hedge Potential in Portfolios Of Life Insurance Products : The Effect of Investment Risk," Discussion Paper 2011-036, Tilburg University, Center for Economic Research.

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